23 For the husband is the head of the wife, even as Christ is the head of the church: and he is the saviour of the body."
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If a woman considers herself to be a Christian, the answer is yes.
Submission to her husband is commanded in the Bible.
Ephesians 5:22 Wives, submit yourselves to your own husbands as you do to the Lord.
Ephesians 5:24 Now as the church submits to Christ, so also wives should submit to their husbands in everything.
Colossians 3:18 [ Instructions for Christian Households ] Wives, submit yourselves to your husbands, as is fitting in the Lord.
1 Peter 3:1 Wives, in the same way submit yourselves to your own husbands so that, if any of them do not believe the word, they may be won over without words by the behavior of their wives,2